Abstract
In the setting of α-parabolic Bergman spaces, we consider weighted versions of averaging functions and Berezin transformations. Related norm equivalence relations are shown. They are very useful to study our Bergman spaces. As an application, we characterize the Schatten classes of compact Toeplitz operators.
Citation
Masaharu Nishio. Noriaki Suzuki. Masahiro Yamada. "Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces." Kodai Math. J. 32 (3) 501 - 520, October 2009. https://doi.org/10.2996/kmj/1257948892
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